Georgy Ivanov - Gaussian free field

This seminar is an overview of the survey "Gaussian free field for mathematicians" by S. Scheffield (arXiv:math/0312099 [math.PR]). Gaussian free field (GFF),  known in physics as the Euclidean bosonic massless free field, is an analog of Brownian motion for the case of d-dimensional time. It is an important object for many constructions in statistical physics. Due to its conformal invariance, the 2-dimensional GFF is a useful tool for studying Schramm-Loewner evolution (SLE).